Fine-grain discrete Voronoi diagram algorithms in L1 and L(∞) norms

Mathematical and Computer Modelling

Volumn 26, Issue 4, 1997, Pages 71-78

  Maniatty, W A ^a   Szymanski, B K ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Computational geometry; Discrete space; Parallel algorithms; SIMD mesh architectures; Voronoi diagrams

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; COMPUTER ARCHITECTURE; SET THEORY;

ADAMATZKY'S ALGORITHMS; DISCRETE VORONOI DIAGRAM (DVD); SINGLE INSTRUCTION MULTIPLE DATA (SIMD) ARCHITECTURES;

ALGORITHMS;

EID: 0031211269     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(97)00145-3     Document Type: Article

References (8)

1. K. Mulmuley, Computational Geometry an Introduction through Randomized Algorithms, First edition, Prentice Hall, Englewood Cliffs, NJ, (1994).
2. F.P. Preparata and M.I. Shamos, Computational Geometry: An Introduction, Springer-Verlag, New York, (1985).
3. L.P. Chew and S. Fortune, Sorting helps for Voronoi diagrams, Algorithmica 18, 217-218, (1997).
4. S.G. Akl and K.A. Lyons, Parallel Computational Geometry, Prentice Hall, Englewood Cliffs, NJ, (1993).
5. C.S. Jeong and D.T. Lee, Parallel geometric algorithms on a mesh connected computer, Algorithmica 5, 155-177, (1990).
6. A.I. Adamatzky, Voronoi-like partition of lattice in cellular automata, Mathl. Comput. Modelling 23 (4), 51-66, (February 1996).
7. W. Maniatty, B.K. Szymanski and T. Caraco, Tempest: A fast spatially explicit model of ecological dynamics on parallel machines, In Proceedings of the 1994 International Simulation Conference, San Diego, CA, 1994, The Society for Computer Simulation, Online information available at ftp://ftp.cs.rpi.edu/pub/ maniattb/hpc94. ps. Z.
8. W.A. Maniatti, B.K. Szymanski and T. Caraco, Parallel and heterogeneous computing with generalized cellular automata, Technical Report 97-3, Dept. of Comp. Sc., Rensselaer Polytechnic Institute, (April 1997); Parallel and Distributed Programming Practices 1(1), (1998).